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11: 1.16 Distributions
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►The linear space of all test functions with the above definition of convergence is called a test function space.
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►Tempered distributions are continuous linear functionals on this space of test functions.
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12: 15.17 Mathematical Applications
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►First, as spherical functions on noncompact Riemannian symmetric spaces of rank one, but also as associated spherical functions, intertwining functions, matrix elements of SL, and spherical functions on certain nonsymmetric Gelfand pairs.
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13: 35.2 Laplace Transform
14: 35.4 Partitions and Zonal Polynomials
15: 35.3 Multivariate Gamma and Beta Functions
16: Bibliography O
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On the distribution of spacings between zeros of the zeta function.
Math. Comp. 48 (177), pp. 273–308.
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Triorthogonal systems in spaces of constant curvature in which the equation allows a complete separation of variables.
Mat. Sbornik N.S. 27(69) (3), pp. 379–426 (Russian).
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Solution of Equations in Euclidean and Banach Spaces.
Pure and Applied Mathematics, Vol. 9, Academic Press, New York-London.
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17: Bibliography T
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Harmonic Analysis on Symmetric Spaces and Applications. II.
Springer-Verlag, Berlin.
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Special functions in phase space: Mathieu functions.
J. Phys. A 31 (31), pp. 6725–6739.
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Level-spacing distributions and the Airy kernel.
Comm. Math. Phys. 159 (1), pp. 151–174.
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18: Bibliography Y
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Mathematical Apparatus of the Theory of Angular Momentum.
Israel Program for Scientific Translations for National Science
Foundation and the National Aeronautics and Space Administration, Jerusalem.
19: 3.4 Differentiation
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